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If the focal length of convex mirror is doubled then radius of curvature is

If the focal length of convex mirror is doubled then radius of curvature is

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Grade:12

2 Answers

ashwin
29 Points
5 years ago
we know that ,radius of curvature=2×focal length. ie, r=2f                .........................(1)
If the focal length is doubled,  let us take the new focal length,F=2f ….....................(2)
                                 
The equation now becomes,R=2F                                              
    substitute equation (2) in (1)
    we get   R=2×2f
    we also know ,r=2f
       Therefore R=2×r 
so  if the focal length  is doubled the radius of curvature also is doubled                            
 
Khimraj
3007 Points
5 years ago
and relation between focal length and radius is R = 2f
So if f becomes doubles then R also become doubles.
Hope it clears.

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